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Finding the Third Proportional to 85 and 142.25

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Solution

The third proportional to 85 and 142.25 is: 238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85 : 142.25 = 142.25 : x
  2. Step 2: Convert to fraction form
    85/142.25 = 142.25/x
  3. Step 3: Cross multiply
    85x = 142.25 × 142.25
  4. Step 4: Simplify right side
    85x = 20,235.06
  5. Step 5: Solve for x
    x = 20,235.06/85
  6. Step 6: Final answer
    x = 238.06

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.